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Finding the Third Proportional to 117,463.50 and 178,948.50

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Solution

The third proportional to 117,463.50 and 178,948.50 is: 272,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,463.50 : 178,948.50 = 178,948.50 : x
  2. Step 2: Convert to fraction form
    117,463.50/178,948.50 = 178,948.50/x
  3. Step 3: Cross multiply
    117,463.50x = 178,948.50 × 178,948.50
  4. Step 4: Simplify right side
    117,463.50x = 32,022,565,652.25
  5. Step 5: Solve for x
    x = 32,022,565,652.25/117,463.50
  6. Step 6: Final answer
    x = 272,617.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.